An adjoint method based approach for optical waveguide design in thin glass sheets using ion-exchange processes

摘要

This work addresses an approach based on adjoint method to calculate a sensitivity matrix for solving the inverse design problem of ion-exchange process for optical waveguide manufacturing. According to Fick's law the ion-exchange process can be mathematically described using diffusion's equation. This partial differential equation (PDE) can be used to derive another PDE of its adjoint state. A sensitivity matrix can be obtained after solving both PDEs using Finite-Element-Method (FEM). Finally, an optimization routine using the sensitivity matrix is developed for the inverse design problem.